Frontiers in PDE-Constrained Optimization: 163 (The IMA Volumes in Mathematics and its Applications) - Hardcover

Hardcover

ISBN 10: 149398635X ISBN 13: 9781493986354

Verlag: Springer, 2018

Inhaltsangabe

<P></P><P>THIS VOLUME PROVIDES A BROAD AND UNIFORM INTRODUCTION OF PDE-CONSTRAINED OPTIMIZATION&NBSP;AS WELL AS TO DOCUMENT A NUMBER OF INTERESTING AND CHALLENGING APPLICATIONS.&NBSP;MANY SCIENCE AND ENGINEERING APPLICATIONS NECESSITATE THE SOLUTION OF OPTIMIZATION PROBLEMS CONSTRAINED BY PHYSICAL LAWS THAT ARE DESCRIBED&NBSP;BY SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS (PDES)?. AS A RESULT, PDE-CONSTRAINED OPTIMIZATION PROBLEMS ARISE IN A VARIETY OF DISCIPLINES INCLUDING GEOPHYSICS, EARTH AND CLIMATE SCIENCE, MATERIAL SCIENCE, CHEMICAL AND MECHANICAL ENGINEERING, MEDICAL IMAGING AND PHYSICS.&NBSP;&NBSP;</P>THIS VOLUME IS DIVIDED INTO TWO PARTS. THE FIRST PART PROVIDES A COMPREHENSIVE TREATMENT OF PDE-CONSTRAINED OPTIMIZATION INCLUDING DISCUSSIONS OF PROBLEMS CONSTRAINED BY PDES WITH UNCERTAIN INPUTS AND PROBLEMS CONSTRAINED BY VARIATIONAL INEQUALITIES. SPECIAL EMPHASIS IS PLACED ON ALGORITHM DEVELOPMENT AND NUMERICAL COMPUTATION.&NBSP; IN ADDITION, A COMPREHENSIVE TREATMENT OF INVERSE PROBLEMS ARISING IN THE OIL AND GAS INDUSTRY IS PROVIDED. THE SECOND PART OF THIS VOLUME FOCUSES ON THE APPLICATION OF PDE-CONSTRAINED OPTIMIZATION, INCLUDING PROBLEMS IN OPTIMAL CONTROL, OPTIMAL DESIGN, AND INVERSE PROBLEMS, AMONG OTHER TOPICS.<BR><P></P>

Über diesen Titel

Reseña del editor:

This volume provides a broad and uniform introduction of PDE-constrained optimization as well as to document a number of interesting and challenging applications. Many science and engineering applications necessitate the solution of optimization problems constrained by physical laws that are described by systems of partial differential equations (PDEs). As a result, PDE-constrained optimization problems arise in a variety of disciplines including geophysics, earth and climate science, material science, chemical and mechanical engineering, medical imaging and physics.  

This volume is divided into two parts. The first part provides a comprehensive treatment of PDE-constrained optimization including discussions of problems constrained by PDEs with uncertain inputs and problems constrained by variational inequalities. Special emphasis is placed on algorithm development and numerical computation.  In addition, a comprehensive treatment of inverse problems arising in the oil and gas industry is provided. The second part of this volume focuses on the application of PDE-constrained optimization, including problems in optimal control, optimal design, and inverse problems, among other topics.

Über diese Auflage

• Verlag: Springer
• Erscheinungsdatum: 2018
• ISBN 10: 149398635X
• ISBN 13: 9781493986354
• Einband: Tapa dura
• Auflage: 1
• Anzahl der Seiten: 446
• Herausgeber: Antil Harbir, Kouri Drew P., Lacasse Martin-D.